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983110000951 = 131973257353601
BaseRepresentation
bin11100100111001011110…
…11000010000100110111
310110222120121220120111201
432103211323002010313
5112101402130012301
62031345015113331
7131012245062211
oct16234573020467
93428517816451
10983110000951
11349a30a696a1
1213a649672847
137192600b070
14358231dd5b1
151a88da6c201
hexe4e5ec2137

983110000951 has 64 divisors (see below), whose sum is σ = 1139224222080. Its totient is φ = 840853094400.

The previous prime is 983110000949. The next prime is 983110000993. The reversal of 983110000951 is 159000011389.

It is a happy number.

It is a 22-Lehmer number, since φ(983110000951) divides (983110000951-1)22.

It is a cyclic number.

It is not a de Polignac number, because 983110000951 - 21 = 983110000949 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 983110000951.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (983110000351) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1635790051 + ... + 1635790651.

It is an arithmetic number, because the mean of its divisors is an integer number (17800378470).

Almost surely, 2983110000951 is an apocalyptic number.

983110000951 is a deficient number, since it is larger than the sum of its proper divisors (156114221129).

983110000951 is a wasteful number, since it uses less digits than its factorization.

983110000951 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316.

The product of its (nonzero) digits is 9720, while the sum is 37.

The spelling of 983110000951 in words is "nine hundred eighty-three billion, one hundred ten million, nine hundred fifty-one", and thus it is an aban number.

Divisors: 1 13 19 73 247 257 353 601 949 1387 3341 4589 4883 6707 7813 11419 18031 18761 25769 43873 63479 87191 90721 148447 154457 212153 243893 334997 356459 489611 570349 833587 1179373 1723699 2007941 2757989 2934683 4030907 4633967 6364943 6622633 10836631 11275361 15487169 22408087 38150879 52401791 54523321 86094229 125830027 146579693 201333197 214231859 294256211 708803173 1035943099 1635790351 2785014167 3825330743 3980202433 13467260287 51742631629 75623846227 983110000951